A MATLAB-Based Code Generator for Parallel Sparse Matrix Computations Utilizing PSBLAS

Abstract

Parallel programs for distributed memory machines are not easy to create and maintain, especially when they involve sparse matrix computations. In this paper, we propose a program translation system for generating parallel sparse matrix computation codes utilizing PS-BLAS. The purpose of the development of the system is to offer the user a convenient way to construct parallel sparse code based on PSBLAS. The system is build up on the idea of bridging the gap between the easy-toread program representations and highly-tuned parallel executables based on existing parallel sparse matrix computation libraries. The system accepts a MATLAB program with annotations and generates subroutines for an SPMD-style parallel program which runs on distributed-memory machines. Experimental results on parallel machines show that the prototype of our system can generate fairly efficient PSBLAS codes for simple applications such as CG and Bi-CGSTAB programs. key words: matrix computations, MATLAB, program translation, parallel libraries * Note that Fortran 90's matrix operations are not consistent with mathematical notations-you can not write A*B when both A and B are not scalar variables.

Application of singular matrix beams in the symmetrical problem of definition of eigenvalues

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